DEVELOPMENTS OF POLYHEDRA USING OBLIQUE COORDINATES

J. Akiyama, C. Nara


Abstract


This paper is an exposition of the results in the paper entitled "Convex Development of a Regular Tetrahedron" by J. Akiyama, et. al. [1]. We fill in the detail which have been omitted in the paper. We determine all convex developments of a regular tetrahedron V using a tiling generated by V and we arrive at conditions for convex polygons to be convex develpments of V . Moreover, we identify all convex polyhedra whose convex developments can be determined by the method used for V .

Keywords


tetrahedron, development, tiling, convexity

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Journal of the Indonesian Mathematical Society ( p-ISSN:2086-8952 | e-ISSN:2460-0245) published by the Indonesian Mathematical Society (IndoMS).

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p-ISSN:2086-8952e-ISSN:2460-0245